{
  "id": "2301.05512",
  "version": "v1",
  "published": "2023-01-13T12:28:56.000Z",
  "updated": "2023-01-13T12:28:56.000Z",
  "title": "Almost sure invariance principle for the Kantorovich distance between the empirical and the marginal distributions of strong mixing sequences",
  "authors": [
    "Jérôme Dedecker",
    "Florence Merlevède"
  ],
  "journal": "Statistics and Probability Letters, 2021, 171, pp.108991",
  "doi": "10.1016/j.spl.2020.108991",
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove a strong invariance principle for the Kantorovich distance between the empiricaldistribution and the marginal distribution of stationary $\\alpha$-mixing sequences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-13T12:28:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "sure invariance principle",
      "strong mixing sequences",
      "marginal distribution",
      "kantorovich distance",
      "strong invariance principle"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}